I Q 2 I Q 3 Theorem 1 Statement Only A function f X R is said to be continuous at a point EX if and only if for given any E neighborhood V f x of f x there exist a 5 neighborhood V x of x such that if x is any point of XV then f x belongs to V f x is f XV x V f x 5 Discontinuity of a Function at a Point Let X be a non empty subset of R let f X R and let EX Then the function f x is said to be discontinuous at if and only if it is not continuous at x 5 1 Types of Discontinuity Let f be a function defined as f X R and let x EX and let left hand limit right hand limit limit of the function and the value of the function at xare denoted by lim f x lim f x lim f x and f x X A respectively Then 9